Finding the Third Proportional to 2,699.58 and 5,802.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,699.58 : 5,802.89 = 5,802.89 : x
2. Step 2: Convert to fraction form
   2,699.58/5,802.89 = 5,802.89/x
3. Step 3: Cross multiply
   2,699.58x = 5,802.89 × 5,802.89
4. Step 4: Simplify right side
   2,699.58x = 33,673,539.61
5. Step 5: Solve for x
   x = 33,673,539.61/2,699.58
6. Step 6: Final answer
   x = 12,473.63